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Finding the Fourth Proportional to 855,408, 1,180,774.08 and 497,712

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Solution

The fourth proportional to 855,408, 1,180,774.08 and 497,712 is: 687,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,408 : 1,180,774.08 = 497,712 : x
  2. Step 2: Convert to fraction form
    855,408/1,180,774.08 = 497,712/x
  3. Step 3: Cross multiply
    855,408x = 1,180,774.08 × 497,712
  4. Step 4: Simplify right side
    855,408x = 587,685,428,904.96
  5. Step 5: Solve for x
    x = 587,685,428,904.96/855,408
  6. Step 6: Final answer
    x = 687,023.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.